Atkin-Lehner |
2- 3+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bg |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
3.2585235368474E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22270682,29706402781] |
[a1,a2,a3,a4,a6] |
Generators |
[-4159:226529:1] |
Generators of the group modulo torsion |
j |
62063026708223431002267/16555014666704112500 |
j-invariant |
L |
10.879496636443 |
L(r)(E,1)/r! |
Ω |
0.09007322113347 |
Real period |
R |
1.0065419092309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330a2 |
Quadratic twists by: -3 |